A tube is being stretched while maintaining its cylindrical shape.

Answers

Answer 1

Answer:

This question is incomplete, the complete question is;

A tube is being stretched while maintaining its cylindrical shape. The height is increasing at the rate of 2 millimeters per second. At the instant that the radius of the tube is 6 millimeters, the volume is increasing at the rate of 96π cubic millimeters per second. Which of the following statements about the surface area of the tube is true at this instant? (The volume V of a cylinder with radius r and height h is V=πr2h. The surface area Sof a cylinder, not including the top and bottom of the cylinder, is S=2πrh.)

A) The surface area is increasing at the rate of 28pi square mm per second.

B) The surface area is decreasing at the rate of 28pi square mm per second.

C) The surface area is increasing at the rate if 32pi square mm per second.

D) The surface area is decreasing at the rate of 32pi square mm per second.

Answer:

Surface Area is increasing at the rate of 28π mm²/sec  ( Option A )

Explanation:

Given the data in the question;

let r be the radius and h be the height of the tube

so volume V = πr²h

dv/dt = πr² dh/dt + 2nrh dr/dt

⇒ 96n = π × 36 × 2 + 2π × 6h dr/dt

⇒ 24π = 12nh dr/dt ⇒ h.dr/dt = 2

Area Surface S = 2nrh

ds/dt = 2π ( r.dh/dt + h.dr/dt )

= 2π ( 6×2 + 2)

= 2π (14)

= 28π

therefore Surface Area is increasing at the rate of 28π mm²/sec ( Option A )


Related Questions

Sierra left $4. 50 as a tip for a waiter. This was 18% of the bill before the tip. How much was her total bill before the tip? Enter your answer in the box.

Answers

Answer:

Total amount is: $25

Explanation:

My reflection in arts grade 7.

Answers

Answer:

This is an incorrect question. Please specifiy the term "reflection" and "art 7" thank you...

Explanation:

In which situations have you participated in a group discussion at school? Check any that apply. To plan an event to solve a problem to debate an issue to complete a project to present a theory or solution to discuss a book or other reading.

Answers

Answer:

all of them are correct

Explanation:

Edge 2021

These situations have a person participated in a group discussion at school are:

to plan an event.to solve a problem.to debate an issue.to present a theory or solution.

What is group?

The term group refers to the two or more people are the involved on the particular activity. A group is an involved of the person are the based on the informal group. It was the people are to enjoy the person to the another person company.

A group discussion or focused group is usually the format of an informal discussion group. It was the plan at the school event. It was to resolve the issue and the problem. The discussion of the specific issue. There was either a theory or a solution.

As a result, the situations have a person participated in a group discussion at school.

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Which best describes the first law of thermodynamics as compared to the second law of thermodynamics? The first law describes how thermal energy is conserved but not the direction it moves. The first law describes the direction thermal energy moves but not how it is conserved. The first law describes how thermal energy can be created but not how it can be destroyed. The first law describes how thermal energy can be destroyed but not how it can be created.

Answers

The statement which best describes the difference between the first law of thermodynamics in comparison with the second law of thermodynamics is that: A. The first law describes how thermal energy is conserved but not the direction it moves.

The First Law of Thermodynamics states that energy can neither be created nor destroyed but it can only be transformed (converted) from one form to another such as potential energy to kinetic energy. Thus, thermal energy is always conserved according to the First Law of Thermodynamics.

On the other hand, the Second Law of Thermodynamics states that the entropy (disorderliness) of an isolated system always increases and can never be decreased. Thus, the direction of an energy is described by the Second Law of Thermodynamics.

In conclusion, the difference between the First Law of Thermodynamics in comparison with the Second Law of Thermodynamics is that the first law describes how thermal energy is conserved but not the direction in which thermal energy moves.

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Answer:

A is the answer

Explanation:

This is for people who don't like reading long answers :)

~Hope it helps!

Which basic task does the federal bureaucracy have?.

Answers

basically they work out the finer details and set up guidelines for congress passed bills

Answer:

to help rebuild foreign nations after a natural disaster

Explanation:

Which statements correctly characterize asoka's reign? select all correct answers.

Answers

Answer:

Roads, hospitals, and monuments were built.

Buddhism spread through missionary monks.

Explanation:

Asoka was the founder of the Moorish dynasty, and extended the kingdom to the western half of northern India. His endeavor, accompanied by fearsome bloodshed, provoked profound spiritual upheavals at Asoka, after which he embraced Buddhism, which had appeared in Magadha two centuries earlier. Since then, the cruel Asoka has become known as the godly Asoka. In the words of the emperor himself, since then his sound was no longer booming, but the voice of dharma.

During his rule, he pursued an official policy of non-violence. The unnecessary killing and mutilation of animals has been abandoned, such as hunting for hunting and stamping.

Asoka also showed mercy to the captives, allowing them a day of freedom each year, and providing ordinary citizens with free education at universities. He treated subjects as equals regardless of religion, politics or caste and made free hospitals for both humans and animals. Asoka defined the main principles of nonviolence, tolerance of sects and opinions, obedience to parents, respect for teachers and priests, human treatment of servants (slavery did not even exist in India at that time) and generosity to all. These reforms are described by Asoka's edicts.

What is the value of x in the equation 2 (6 x 4) minus 6 2 x = 3 (4 x 3) 1? 1 3 4 6.

Answers

Answer:

4

Step-by-step explanation:

2 (6 x + 4) - 6 + 2 x = 3 (4 x + 3) + 1

12x + 8 - 6 + 2x = 12x + 9 + 1

12x + 2 + 2x = 12x + 10

2x + 2 = 10

2x = 10 - 2

2x = 8

x = 4

Assume the blood pressures of 10 people were measured before and after sleeping for the night. What is the corresponding critical t-value for a one-tailed, paired-samples t test with an alpha level of 0. 05 (5%). Please report your answer as an absolute value and include three decimal places.

Answers

Using a t-distribution table or a t-critical value calculator, the critical value for a one- tailed t - test for the sample given at 0.05 α-level would be 1.833

The critical value for a one-tailed, paired sample t test can be defined thus :

[tex]t_{critical} = t_{α, df-1} [/tex]

Sample size, n = 10

The degree of freedom , df for a 1 - tailed t-test is calculated using the relation :

df = n - 1

Hence,

Degree of freedom, df = n - 1 = 10 - 1 = 9

Using a Tcritical value calculator or a t - distribution table :

[tex]t_{critical} = t_{0.05, 9} = 1.833 [/tex]

Therefore, the critical value for a one - tailed test at 0 05 level of confidence would be 1.833.

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Next year baldwin plans to include an additional performance bonus of 0. 25% in its compensation plan. This incentive will be provided in addition to the annual raise, if productivity goals are reached. Assuming the goals are reached, how much will baldwin pay its employees per hour?.

Answers

Answer:

Total raise = 5% + 0.25% = 5.25%

Present wages = $28.15

Baldwin will pay = $28.15 (1.0525) = $29.63

Explanation:

Like strain theory, control theory explains deviance as a natural occurrence. Please select the best answer from the choices provided T F.

Answers

Answer:

True

Explanation:

Answer:

True

Explanation:

As on Edu 2022

Your class has been discussing how they spend their money essay.

Answers

yes that makes good sense good sir and i understand what you are talking about

Which theme is revealed by orwell’s use of situational irony in this excerpt? leaders should not be trusted. Ideals can become mocked in practice. Naïve citizens allow corrupt governments. Equality applies to all social classes.

Answers

Answer:

C

Explanation:

Edge 2021

The theme revealed by Orwell’s use of situational irony in the excerpt is naïve citizens allow corrupt governments. Hence option c is correct.

What is irony?

Irony is defined  as the comparison of what appears to be true on the surface with what is true or what is expected; this is a crucial rhetorical and literary tactic. The use of a mocking tone by the character is verbal irony and shows sarcasm.

The other animals were kept under the tyranny of the pigs enough to allow them to maybe realize that they had been duped by the false principles of the uprising. In the end, Napoleon uses the animals' gullibility to reinforce his dictatorship, in which the pigs can live comfortably at the expense of the other creatures.

Thus, the theme revealed by Orwell’s use of situational irony in the excerpt is naïve citizens allow corrupt governments. Hence option c is correct.

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why is it important to reduce reuse and recycle plastic materials to save the environment?​

Answers

Answer:

Plastic materials do not decompose easily and most end up in the ocean where they can potentially harm animals. Some plastics also release carcinogens when burnt. By reducing its usage, we look for a more sustainable alternative to plastic materials. Reuse old plastic containers, bags, etc. if they can are still in good condition. Recycling will repurpose plastics that are no longer in proper condition to be used how it was originally intended to be.

Which of the following factors affected the US economy during the 1970s? stagflation low inflation low unemployment high GDP.

Answers

The factor which affected the US economy during the 1970s is: A. stagflation

In the 1970s, an energy crisis was a major event that took place in the United States of America due to the oil embargo imposed on it by OPEC.

An oil embargo was imposed on the United States of America by the Organization of Petroleum Exporting Countries (OPEC) in 1973, based on its role in the Arab-Israeli War.

Consequently, the economy of the United States of America experienced stagflation such as:

Slow economic growth.Relatively high unemployment.

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A probe orbiting Venus exerts a gravitational force of 2. 58 × 103 N on Venus. Venus has a mass of 4. 87 × 1024 kg. The mass of the probe is 655 kilograms. The gravitational constant is 6. 67 × 10-11 N*m2/kg2. To three significant digits, the probe is × 106 m from the center of Venus.

Answers

Answer:

9.08

Explanation:

To solve for the distance between the probe and  the center of Venus, use the formula:

[tex]\mathrm{F = \frac{G\: m1 \:m2}{r^2}}[/tex]

 

Plugin the values:

G =

[tex]6.67\times10^{-11} \mathrm{\frac{m3}{kg\: s2}}[/tex]

[tex]\mathrm{F} =2.58 \times 10^3\mathrm{N}[/tex]

[tex]\mathrm{m1 = 4.87 \times 10^{24}\:kg}[/tex]

[tex]\mathrm{m2 = 655\: kg}[/tex]

Hence:

[tex]\mathrm{F = \frac{G\: m1 \:m2}{r^2}}[/tex]

[tex]2.58 \times 10^{23} = 6.67 \times 10^{-11} (4.87 \times 10^{24})[/tex]

[tex]\frac{(655)}{r^2}[/tex]

[tex]\mathrm{r = 9.08 \times 10^6 \:km}[/tex]

What did it mean when foreign diplomats "kowtowed" to the Chinese emperor or his representatives? It meant that diplomats relinquished all their rights in the Forbidden City. It meant that diplomats recognized the superiority of the Chinese emperor. It meant that foreign missionaries could no longer visit China. It meant that diplomats had full trading rights equal to those of China.

Answers

Kowtowing is simply known to be the a form of paying respect. kowtowed to the Chinese emperor or his representatives simply meant that meant that diplomats recognized the superiority of the Chinese emperor.

Kowtow, is commonly said pronounced as kotow.

It is very common to traditional China as a form of respect or reverence. It is known as an act of supplication made by an inferior to his superior through the kneeling and knocking of head to the floor.

It is a traditional forms of reverence. In many scenarios, the standing bow has displaced the kowtow.

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Answer:

B edge 2021

Explanation:

A 250 kg crate is on a rough ramp.

Answers

a 250-kg crate is on a rough ramp, inclined at 30 degrees above the horizontal. The coefficient of kinetic friction between the crate and the ramp is 0.22. A horizontal force of 4222 N is applied on the crate, pushing it up the ramp

Answer:

a 250-kg crate is on a rough ramp, inclined at 30 degrees above the horizontal. The coefficient of kinetic friction between the crate and the ramp is 0.22. A horizontal force of 4222 N is applied on the crate, pushing it up the ramp

Explanation:

Aria paid $75,000 for her house. Its property value increased by 2. 2% per year. When aria sold her house after eleven years, how much was it worth, to the nearest hundred dollars? a. $133,700 b. $95,400 c. $95,300 d. $93,100.

Answers

Answer:

$95,300. C

Explanation:

Answer:

answer is C

Explanation:

When you make a dns query, where does your computer first check to find an ip address to name mapping?.

Answers

Answer:

in its local DNS cache

Explanation:

This cache stores this information that our computer has recently saved.

Imagine that you are directing a production of Hamlet. Whom would you cast to play the role of Hamlet? an actor or actress who can deliver a diverse perspective of the character an actor or actress who does not stray from the script an actor or actress who mixes modern and classical interpretation of the plot an actor or actress who remains true to the setting and era in all forms.

Answers

The person that I will cast to play the role of Hamlet will be an actor or actress who remains true to the setting and era in all forms.

Hamlet is a story about how the ghost of a king told his son Hamlet to avenge his death and therefore kill the new king whim was his brother.

If I was directing a production of Hamlet, the person that I will cast to play the role of Hamlet will be an actor or actress who remains true to the setting and era in all forms.

It's important to get someone who stays true to the setting. This is vital in order to convey the theme of the story.

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Answer:

you can choose any answers theyre all right

Explanation:

Which of the following methods would not be used to prove that two triangles are congruent?.

Answers

Answer: ASA AAS SSS HL SAS

Explanation:

Which child is most likely to receive treatment for her or his psychological challenge?.

Answers

There are different form of disorder that use to affect people. The child that is most likely to receive treatment for her or his psychological challenge is Diana, who has bipolar disorder symptoms.

Bipolar disorder is simply described  as a mental health condition that involves being in high and low moods.

Highs are known to be times of mania or hypomania, while lows are times of depression.

The changes in mood can be mixed as a person may feel elated and depressed at the same time.

See full question below

Which child is most likely to receive treatment for her or his psychological challenge?

-Diana, who has bipolar disorder symptoms

-Anna, who has a mild case of dyslexia

-William, who suffers from binge eating disorder

-Stavros, who suffers from ADHD

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According to Wilson, which of the following groups had too much power over the US economy and government? socialists big business workers Congress.

Answers

Woodrow Wilson was of the opinion that when it came to power over the b, Big Business had too much of it.

Woodrow Wilson was not a fan of the power that big business had in the U.S. and so to combat it he introduced:

The Federal Trade Commission Act Clayton Antitrust Act

These two acts were meant to reduce the monopolistic tendencies of big business in the United States and to increase competition in the market for the betterment of the American people.

In conclusion, Wilson was against big business.

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Answer:

Big business

Explanation:

on edge 2021

Can someone solve this please fasttt

Answers

you’re not gonna pass

A radioactive substance has a continuous decay rate of 0. 064 per minute. How many grams of a 150 gram sample will remain radioactive after 45 minutes? round the answer to the nearest tenth of a gram, and do not include the unit in your answer.

Answers

Answer:

147.1

Explanation:

150 - 0.064(45)

150 - 2.88 = 147.12

The equilibrium constant for the reaction cu + 2ag.

Answers

Answer:

Socratic app

Explanation:

it will help you

Predict the missing component of each reaction. ? 2 upper N a upper B r right arrow 2 upper N a upper C l plus upper B r subscript 2. HCl Cl2 Na HBr right arrow upper M g upper O plus upper H subscript 2. ? CHO C2H2 CO2 CO2 2H2O C 2H2O.

Answers

The given reactions are; First reaction is a displacement reaction, Second

reaction is the production of MgO and hydrogen gas.

1. The missing component is Cl₂.

2. The missing component is H₂O.

Reasons:

1. The given reaction can be presented as follows;

? + 2NaBr [tex]\longrightarrow[/tex] 2NaCl + Br₂

The above reaction has both 2 Na and 2 Br on the side of the reactants, and 2 Na, 2 Br, and 2 Cl on the side of the products, therefore

The missing component is Cl₂

2. The possible given reaction is presented as follows;

Mg + ? HBr [tex]\longrightarrow[/tex] MgO + H₂

The elements in the reactant side of the reaction are one Mg and unknown element (?)

The elements in the product side are one Mg one O and  two H

Therefore;

The the missing elements in the reactants are, 2 H and 1 O, which gives;

The missing component = H₂O

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Answer:

1- B

2- C

Explanation:

Peep the attachment, give the other guy props for giving me the idea

When a normal fault occurs, rocks will ___________. Question 13 options: push together not move fly up in the air spread out.

Answers

Answer:

A normal fault is cause by a plates pulling away from each other, resulting in one side slipping down.

Explanation:

Which of the following can be best explained by temporary dipole moments?.

Answers

we need to see the following answers to answer ur question

Mr. Thom makes $25,900/year salary as a document processor. He has made the following chart in order to divide his weekly paycheck into his accounts: Expense type Account Weekly deposits Essential (Fixed) 1st Checking account $219 Essential (Variable) 1st Checking account $115 Non-essential 2nd Checking account $40 Other (Unexpected) Emergency savings account $20 Other (Predictable) Education investment fund $10 Other (Predictable) Retirement investment fund $40 Other (Predictable) Emergency savings account $15 Total paycheck $498 Unfortunately, he has made a mistake in adding the numbers and has not allocated all of the paycheck. If he deposits the difference into the two emergency savings accounts, how much total per week can he then put towards emergency savings? a. $40 b. $60 c. $74 d. $55.

Answers

Answer:

C. 74

Explanation:

Answer:

Explanation:

C 74

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